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Finding the Third Proportional to 11,565 and 16,231.50

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Solution

The third proportional to 11,565 and 16,231.50 is: 22,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 16,231.50 = 16,231.50 : x
  2. Step 2: Convert to fraction form
    11,565/16,231.50 = 16,231.50/x
  3. Step 3: Cross multiply
    11,565x = 16,231.50 × 16,231.50
  4. Step 4: Simplify right side
    11,565x = 263,461,592.25
  5. Step 5: Solve for x
    x = 263,461,592.25/11,565
  6. Step 6: Final answer
    x = 22,780.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.